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Question: 1. An unevenly heated plate has temperature T (x, y) in °C at the point (x, y). If T (2, 1) = 135, and Tx(2, 1) = 16, and Ty(2, 1) = -15, estimate the temperature at the point (2.04, 0.97).
2. A right circular cylinder has a radius of 50 cm and a height of 100 cm. Use differentials to estimate the change in volume of the cylinder if its height and radius are both increased by 1 cm.
Consider the event that the two balls that are drawn are of different colors. List all outcomes in the event. What is the probability of the event?
For what values of ? on the polar curve r = ?, with 0 = ? = 2p, are the tangent lines horizontal? Vertical?
A region of a certain solid consists of a square and a semicircle with a circular hole. Find the area of the given region. side of square is 9 in. and the radius is 2.5 in.
A linear program is defined as follows: Maximize Objective Function (4X1 + 2X2); subject to constraints: X1 ≥ 4; X2 ≤ 2; X1 ≥ 3; X2≥ 0; which of the following statements is true about this linear program?
Develop a simulation model to find the following measures of performance of this booking system: the expected number of rooms used per night and the percentage of nights when more than 100 rooms are claimed
What is the projected average out-of-pocket costs for beneficiaries in 2010
A vat with 600 gallons of beer contains 4% alcohol (by >volume). Beer with 6% alcohol is pumped into the vat at a rate of 6 gal/min and the mixture is pumped out at the same rate. What is the percentage of alcohol after an hour?
How many different ID numbers are possible?
in the coordinate planewhat is the total number of points that are 8 units from the origin and equidistant from the
A tank in the shape of a sphere with radius 10 m is full of gasoline, with density 680 kg/m3. Calculate the work required to empty the tank through a hole at the top.
Determine whether the graph shown has directed or undirected edges, whether it has multiple edges, and whether it has one or more loops.
Allan has a surplus of funds on June 15 and will settle the early if Value Furniture will make an adjustment reflecting the current short term simple interest rate should be of 7.25%. What amount should be acceptable to both parties?
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